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Joint Entrance Examination (JEE Main Paper 1)

Organized By: National Testing Agency (NTA)


Applicable For

Under Graduate

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Click Here

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1000 (INR)

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Maximum Marks


No of Questions


Exam Mode

English + 12

Paper Language

2 /Year

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National Entrance

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Determinants - Downloads Notes (JEE Main)

Determinants - Definition and Notes 

What is Determinant?

Determinants are scalar values associated with square matrices that provide information about the properties of the matrices. They are used in mathematics, physics, and engineering. Determinants represent geometric and algebraic properties of matrices and have applications in solving systems of linear equations, finding matrix inverses, and studying linear transformations. They play a fundamental role in linear algebra, helping to analyze vector spaces, eigenvalues, eigenvectors, and transformations. Determinants follow specific rules and formulas for calculation and are essential for understanding matrix operations. They form the basis for advanced mathematical topics and their applications in various scientific and engineering fields.


Download PDF On Determinants 

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Table of Content 

1. Definition.

2. Expansion of determinants.

3. Evaluation of determinants.

4. Properties of determinants.

5. Minors and cofactors.

6. Product of two determinants.

7. Summation of determinants.

8. Differentiation and integration of determinants.

9. Application in solving a system of linear equations.

10. Application in co-ordinate geometry. 1

1. Some special determinants.

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